A definitive improvement of a game-theoretic bound and the long tightness game

Leandro F. Aurichi; Angelo Bella

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arXiv · 1711.03217

A definitive improvement of a game-theoretic bound and the long tightness game

Leandro F. Aurichi·Angelo Bella

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Abstract

The main goal of the paper is the full proof of a cardinal inequality for a space with points $G_δ$, obtained with the help of a long version of the Menger game. This result, which improves a similar one of Scheepers and Tall, was already established by the authors under the Continuum Hypothesis. The paper is completed by few remarks on a long version of the tightness game.

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Leandro F. Aurichi, Angelo Bella. 2017-11-29. A definitive improvement of a game-theoretic bound and the long tightness game. https://arxiv.org/abs/1711.03217

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